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Finding the Third Proportional to 36.21 and 78.12

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Solution

The third proportional to 36.21 and 78.12 is: 168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.21 : 78.12 = 78.12 : x
  2. Step 2: Convert to fraction form
    36.21/78.12 = 78.12/x
  3. Step 3: Cross multiply
    36.21x = 78.12 × 78.12
  4. Step 4: Simplify right side
    36.21x = 6,102.29
  5. Step 5: Solve for x
    x = 6,102.29/36.21
  6. Step 6: Final answer
    x = 168.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.